mathsurgery - Equations, formulae, identities and expressions

All
• Explore patterns, properties and relationships and propose a general statement involving numbers or shapes (Y5)
• Explain reasoning using diagrams, graphs and text; refine ways of recording using images and symbols (Y5)
• Construct and use simple expressions and formulae in words then symbols (e.g. the cost of c pens at 15 pence each is 15c pence) (Y6)
• Explain reasoning and conclusions, using words, symbols or diagrams as appropriate (Y6)

Most

• Manipulate numbers, algebraic expressions and equations
• Use letter symbols to represent unknown numbers or variables; know the meanings of the words term, expression and equation
• Understand that algebraic operations follow the rules of arithmetic
• Simplify linear algebraic expressions by collecting like terms; multiply a single term over a bracket (integer coefficients)
• Substitute positive integers into linear expressions

Some
• Recognise that letter symbols play different roles in equations, formulae and functions; know the meanings of the words formula and function
• Understand that algebraic operations, including the use of brackets, follow the rules of arithmetic; use index notation for small positive integer powers
• Simplify or transform linear expressions by collecting like terms; multiply a single term over a bracket
• Substitute integers into simple formulae

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Equations, formulae, identities and expressions

Most